Hohenberg-Kohn Theorem for Coulomb Type Systems

Abstract

Density functional theory (DFT) has become a basic tool for the study of electronic structure of matter, in which the Hohenberg-Kohn theorem plays a fundamental role in the development of DFT. Unfortunately, the existing proofs are incomplete even incorrect; besides, the statement of the Hohenberg-Kohn theorem for many-electron Coulomb systems is not perfect. In this paper, we shall restate the Hohenberg-Kohn theorem for Coulomb type systems and present a rigorous proof by using the Fundamental Theorem of Algebra.

References in corpus (2)

• On the Original Proof by Reductio ad Absurdum of the Hohenberg-Kohn Theorem for Many-Electron Coulomb Systems
• On the Proof by Reductio ad Absurdum of the Hohenberg-Kohn Theorem for Ensembles of Fractionally Occupied States of Coulomb Systems